36790944 has 48 divisors (see below), whose sum is σ = 97161120. Its totient is φ = 12189440.

The previous prime is 36790903. The next prime is 36790951. The reversal of 36790944 is 44909763.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×36790944² = 2707147120822272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36790896 and 36790905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16114 + ... + 18254.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^36790944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36790944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48580560).

36790944 is an abundant number, since it is smaller than the sum of its proper divisors (60370176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36790944 is a wasteful number, since it uses less digits than its factorization.

36790944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 36790944 is about 6065.5538906187. The cubic root of 36790944 is about 332.5934129912.

The spelling of 36790944 in words is "thirty-six million, seven hundred ninety thousand, nine hundred forty-four".